86008457824 has 48 divisors (see below), whose sum is σ = 175655027520. Its totient is φ = 41424215040.

The previous prime is 86008457791. The next prime is 86008457831. The reversal of 86008457824 is 42875480068.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 311259 + ... + 518554.

It is an arithmetic number, because the mean of its divisors is an integer number (3659479740).

Almost surely, 2^86008457824 is an apocalyptic number.

It is an amenable number.

86008457824 is an abundant number, since it is smaller than the sum of its proper divisors (89646569696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86008457824 is a wasteful number, since it uses less digits than its factorization.

86008457824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829943 (or 829935 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 52.

The spelling of 86008457824 in words is "eighty-six billion, eight million, four hundred fifty-seven thousand, eight hundred twenty-four".